where \(T\)  is a Lagrange multiplier that we introduce to fix \(I(C; g)\) . This is the “information bottleneck” problem [1]}. Buried inside the function that we are trying to maximize is the joint distribution of positions and expression levels, \(P(g, x)\) , which has been estimated experimentally [2]}, and it is this distribution that determines the form of the optimal \(P(C|g)\) .
